Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
A. 14 + 2 × 5 = 14 + 10 = 24 ≠ 22
B. (14 + 2) × 5 = 16 × 5 = 80 ≠ 22
C. 24 - 6 ÷ 3 = 24 - 2 = 22
D. (24 - 6) ÷ 3 = 18 ÷ 3 = 6 ≠ 22
<h3>Answer: C.</h3>
1) Let's evaluate that expression
3x+5
2) Since the value of x has been given, then let's plug that into the expression
3x+5
3(5) +5
15 +5
20
3) The answer is 20
For example, for LCM (12,30) we find:
Using the set of prime numbers from each set with the highest exponent value we take 22 * 31 * 51 = 60. Therefore LCM (12,30) = 60.
the denominator would be 12
Suppose the length of the card board was x cm by x cm
After squares of 4cm was cut from the corner, the dimension for the box will be:
length=(x-8) cm
width=(x-8) cm
height=4 cm
thus the volume will be:
V=length*width*height
V=4×(x-8)×(x-8)=144
x²-16x+64=36
this can be simplified to form a quadratic equation given by:
x²-16x+28=0
solving the quadratic equation we get:
x=2 or x=14
Thus we conclude that the original dimensions was:
length=14 cm ; width=14 cm